Dressing the nucleon in a dispersion approach

Abstract

We present a model for dressing the nucleon propagator and vertices. In the model the use of a K-matrix approach (unitarity) and dispersion relations (analyticity) are combined. The principal application of the model lies in pion-nucleon scattering where we discuss effects of the dressing on the phase shifts.

17 pages, using REVTeX, 6 figures

References in corpus (7)

• Quantization of an interacting spin-3/2 field and the Delta isobar
• Solution of the Bethe-Salpeter equation for pion-nucleon scattering
• Pion and photon couplings of N* resonances from scattering on the proton
• Nucleon-nucleon bremsstrahlung: An example of the impossibility of measuring off-shell amplitudes
• Relativistic covariance of quasipotential equations
• Consistent off-shell $\pi NN$ vertex and nucleon self-energy
• A relativistic dynamical model for pi-N scattering

Cited by in corpus (16)

• Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
• Dilepton production and off-shell transport dynamics at SIS energies
• Effective Lagrangian Approach to pion photoproduction from the nucleon
• Compton scattering on the nucleon at intermediate energies and polarizabilities in a microscopic model
• Photoproduction of eta meson within a coupled-channels K-matrix approach
• The associated photoproduction of K+ meson off proton within a coupled-channels K-matrix approach
• Production of a cascade hyperon in the K^- - proton interaction
• The Rarita--Schwinger field: dressing procedure and spin-parity content
• Crossing symmetry and phenomenological widths in effective Lagrangian models of the pion photoproduction process
• Channel coupling effects in $\rho$-meson photoproduction
• Propagator of the interacting Rarita-Schwinger field
• The equivalence theorem and the Bethe-Salpeter equation
• Complete Relativistic Description of the N*(1520)
• The Adler-Weisberger and Goldberger-Miyazawa-Oehme sum rules as probes of constraints from analyticity and chiral symmetry in dynamical models for pion-nucleon scattering
• The Rarita--Schwinger field: renormalization and phenomenology
• Pion-nucleon amplitude near threshold: the sigma-term and scattering lengths beyond few loops